How to create a procedural chevron like texture/material?
Start with Wave procedural texture and create tiling in X axis with Repeating patterns on procedural textures. After that clamp the values into stripes with a ColorRamp node set to constant:




 (^click to enlarge)

You can adjust the stripes with the ColorRamp node:



For mapping procedural textures onto spherical objects there has to be additional transforming of mapping coordinates:

For procedural cylindrical projection this node group:





And for procedural spherical projection this node group:





Using the spherical projection with the tiled chevron procedural texture:



Here we also added an extra Mapping node to control stretching of the texture around the surface.

Download the .blend file with append-able node groups here:



On the egg shape cylindrical projection looks the best: